Glauberman's and Thompson's theorems for fusion systems

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2009-02Author
Park, Sejong
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Díaz, Antonio and Glesser, Adam and Mazza, Nadia and Park, Sejong (2009) 'Glauberman's and Thompson's theorems for fusion systems'. Proc. Amer. Math. Soc, 137 (2):495-503.
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Abstract
We prove analogues of results of Glauberman and Thompson for fusion systems. As a corollary, we obtain a stronger form of Frobenius' theorem for fusion systems, applicable under the above assumptions and generalizing another result of Thompson.